At a party,
14 of the people are adults. The remaining group of people is divided into girls and boys in the ratio of 3 : 5. Each girl is given 2 chocolates and each boy is given 5 chocolates. Each accompanying adult receives 8 chocolates. Given that only 556 chocolates are given away to boys and adults, how many less girls are there than boys?
Girls |
Boys |
Adults |
3x8 |
1x8 |
3x3 |
5x3 |
|
9 u |
15 u |
8 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
|
Girls |
Boys |
Adults |
Number |
9 u |
15 u |
8 u |
Value |
2 |
5 |
8 |
Total value |
18 u |
75 u |
64 u |
Number of chocolates given away to boys and adults
= 75 u + 64 u
= 139 u
1 u = 556 ÷ 139 = 4
Number of less girls than boys
= 15 u - 9 u
= 6 u
= 6 x 4
= 24
Answer(s): 24